Stephen Haas

The Hausdorff Dimension of the Julia Set of Polynomials of the Form z^d+c

In recent
years there has been a fair amount of research about the Hausdorff dimension
of Julia sets. Among the most interesting is whether the dimension of the
Julia set varies continuously with the polynomial generating it. We examine
this problem and give a near-complete characterization of the answer for
polynomials of the form z^d+c.